Looks like "Lie of Lies' is a pre-produced drama. In a February episode (aired in March 2020) of 2 Days 1 Night (beginning of #13). Yeon Jung-hoon stated he was to begin filming his new drama soon.
Filming recently began. In February 2020, Chinese entertainment site Sina confirmed casting of of leads -- Li Yifeng and Yukee Chen. However, the production company has not confirmed these leads. See Marcus Sim's report here: @ 3:49 https://youtu.be/X_4sjsFOEHY
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https://cnewsdevotee.wordpress.com/2020/06/10/entertainment-updates-tian-ya-ke-be-together-my-heroic-husband-love-a-lifetime-twelve-legends-miss-crow-with-mr-lizard-novoland-pearl-eclipse-sisyphus-ady-an-announces-2nd-pregnancy-ming-da/#more-31659
Good synopsis from Dramabeans:
http://www.dramabeans.com/2020/06/ji-sung-courted-for-new-drama-devil-judge/
https://www.avirtualvoyage.net/2020/06/first-stills-of-miss-crow-with-mr-lizard-with-ren-jia-lun-and-xing-fei.html
The release date CLOCK doesn't match the date in DETAILS.
https://www.soompi.com/article/1405629wpp/ji-sung-in-talks-to-star-in-new-drama-by-miss-hammurabi-writer
This article from Soompi confirmed that gugudan's Kim Se-jeong is considering the lead role of Do Ha-na.
https://www.soompi.com/article/1405631wpp/gugudans-kim-sejeong-considering-role-in-new-ocn-drama-based-on-popular-webtoon
https://media.netflix.com/en/press-releases/unscripted-travel-series-twogether-starring-lee-seung-gi-and-jaster-liu-premieres-on-june-26
https://youtu.be/4YA4vv7nxjY
@ 3:49
https://youtu.be/X_4sjsFOEHY
@ 2:10
https://youtu.be/X_4sjsFOEHY